Bel--Robinson energy and constant mean curvature foliations

Mathematics – Differential Geometry

Scientific paper

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9 pages

Scientific paper

An energy estimate is proved for the Bel--Robinson energy along a constant
mean curvature foliation in a spatially compact vacuum spacetime, assuming an
$L^{\infty}$ bound on the second fundamental form, and a bound on a spacetime
version of Bel--Robinson energy.

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